Aman verma wrote:Q: Barack Singh Lamba, a famous cook in Capitol Hills ,Washington D.C, is known for his gourmet Indian food.The Food Quality control department once set on an inspection to check the quality of the food at Barack's restaurant.The food inspector took four different samples of Butter Chicken, an Indian delicacy , each sample containing a single piece of chicken.The inspector measured the weights of the pieces of chickens in all possible pairs.The weight obtained are 59gm, 61gm, 62gm, 63gm , 64gm and 66 gm. The weight of the lightest(least weight) piece of chicken is :
a)27gm.
b)28gm.
c)29gm.
d)30gm.
e)31gm.
Let p, q, r, s are the weights such that p < q < r < s, then the possible pairings are p + q, p + r, p + s, q + r, q + s, and r + s, and it must be an ascending order, logically. The so obtained weights are also given in the same order. If it is so, then p + q = 59, p + r = 61, p + s = 62, q + r = 63, q + s = 64, and r + s = 66. A bit of algebra, like add p + q = 59, p + r = 61, to get 2 p + q + r = 120, but q + r = 63, hence 2 p = 57 or p = 28.5; and all choices for the least weight piece of chicken are integers. If the question reads "four different samples of Butter Chicken", aren't we supposed to take them different weight-wise here, in a question about weights only?
What's the OA and source?
The mind is everything. What you think you become. -Lord Buddha
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
